At the local orchard, 1 3 of all the trees are apple trees, 2 5 are pear trees, and the rest are plum trees. What fraction of all the trees at the orchard are plum trees?

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Correct Question

At the local orchard, 1/3 of all the trees are apple trees, 2/5 are pear trees, and the rest are plum trees. What fraction of all the trees at the orchard are plum trees?

4/15

Step-by-step explanation:

Let the total number of trees at the orchard be represented by 1

From the question:

Apple trees = 1/3

Pear trees = 2/5

Plum trees = the rest which is unknown = x

Total number of trees = Fraction ( Apple trees + Plum trees + Pear trees)

1 = 1/3 + 2/5 + x

x = 1 - (1/3 + 2/15)

x = 1 - (5 + 6/15)

x = 1 - 11/15

Find LCM = 15

x = (15 - 11/ 15)

x = 4/15

Therefore the number of plum trees = 4/15

1. 22

2. 1

3. 7

4. 18

step-by-step explanation

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